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3 years ago

How to convert from point slope form to slope intercept form

Mathematics

1 answer:

nirvana33 [79]3 years ago

5 0

Answer:

$y=mx+(y_1-mx_1), b=y_1-mx_1$

Step-by-step explanation:

The point slope form of the equation of a line is given as:

$y-y_1=m(x-x_1)$

The slope-intercept form of the equation of a line is given as:

$y=mx+b$

where: m=slope, b=y-intercept.

To convert from the point slope form to slope intercept form, follow these steps:

Step 1: Distribute the right hand side

$y-y_1=m(x-x_1)\\y-y_1=mx-mx_1$

Step 2: Isolate the y variable

$y=mx-mx_1+y_1\\y=mx+(y_1-mx_1)$

This is the slope-intercept form. We can evaluate $y_1-mx_1 $ given values for $(x_1,y_1)$ and slope, m$

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three outn of every five cookies on a cookie tray are oatmeal rasin cookies if there are 45 cookies on the tray predict how many

Elden [556K]

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4 0

3 years ago

The Red Line in the figure is an altitude of triangle hjl. Using right angle trig and properties of equality, y sin L = x = z si

aivan3 [116]

Answer:

$\Large \boxed{\mathrm{\bold{C}}}$

Step-by-step explanation:

$\sf \displaystyle sin(\theta) =\frac{opposite}{hypotenuse }$

$\sf \displaystyle sin(L) =\frac{x}{y}$

$\sf \displaystyle sin(H) =\frac{x}{z}$

$\displaystyle \sf \frac{sinL}{z} =\frac{sinH }{y}$

$\displaystyle \sf \frac{\frac{x}{y} }{z} =\frac{\frac{x}{z} }{y}$

Simplifying the expression.

$\sf \displaystyle \frac{x}{yz } = \frac{x}{yz} \ (true)$

$\displaystyle \sf \frac{z}{sinL} =\frac{y}{sinH}$

$\displaystyle \sf \frac{z}{\frac{x}{y}} =\frac{y}{\frac{x}{z}}$

Multiplying both sides by x.

$\sf yz=yz \ (true)$

7 0

3 years ago

Read 2 more answers

Question 10

vazorg [7]

Answer:

$83,320

Step-by-step explanation:

The formula to apply here is;

$A=P(1+\frac{r}{n} )^{nt}$

where;

A=Amount at the end

P=the amount to invest/principal

r=rate of interest as a decimal

n=number of compoundings in a year

t=time in years

Given that;

A=$400,000

P=?

r=8%=0.08

n=2

t=20

Substitute values in equation

$A=P(1+\frac{r}{n} )^{nt} \\\\\\400,000=P(1+\frac{0.08}{2} )^{2*20} \\\\\\400,000=P(1+0.04)^{40} \\\\\\\\400,000=P(1.04)^{40} \\\\\\400,000=P(4.80102062794)\\\\\\\\\frac{400,000}{4.80102062794} =\frac{4.80102062794P}{4.80102062794} \\\\\\83315.617=P\\\\$